Equivariant Gromov-Witten theory of one dimensional stacks

Abstract

In math.AG/0207233, Okounkov and Pandharipande gave an operator formalism for computing the equivariant Gromov-Witten theory of the projective line. This thesis extends their result to orbifold lines. In the effective case the theory is again governed by the 2-Toda hierarchy. In the ineffective case the decomposition conjecture of hep-th/0606034 is verified.

References in corpus (5)

• Smooth toric DM stacks
• Gromov-Witten invariants of target curves via Symplectic Field Theory
• On Gromov-Witten theory of root gerbes
• Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3
• Gromov-Witten theory of orbicurves, the space of tri-polynomials and Symplectic Field Theory of Seifert fibrations

Cited by in corpus (1)

• Quantum curve and bilinear Fermionic form for the orbifold Gromov-Witten theory of $\mathbb{P}[r]$